Homomorphisms and functional calculus in algebras of entire functions on Banach spaces

H. M. Pryimak

Abstract


In the paper the homomorphisms of algebras of entire functions on Banach spaces to a commutative Banach algebra are studied. In particular, it is proposed a method of constructing of homomorphisms vanishing on homogeneous polynomials of degree less or equal than a fixed number $n$.

Keywords


Aron-Berner extension, functional calculus, algebras of analytic functions on Banach spaces

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